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4124144204301 = 3111937659269761
BaseRepresentation
bin111100000000111010001…
…001100111101000001101
3112121021010200220200222210
4330000322021213220031
51020032221404014201
612434334455101033
7603650065222602
oct74007211475015
915537120820883
104124144204301
111350048983820
12567353671779
1323bb9c7543a4
14103876c166a9
1572429bbd1d6
hex3c03a267a0d

4124144204301 has 64 divisors (see below), whose sum is σ = 6495005721600. Its totient is φ = 2300426956800.

The previous prime is 4124144204267. The next prime is 4124144204333. The reversal of 4124144204301 is 1034024414214.

It is a happy number.

It is not a de Polignac number, because 4124144204301 - 217 = 4124144073229 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124144200301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15153261 + ... + 15423021.

It is an arithmetic number, because the mean of its divisors is an integer number (101484464400).

Almost surely, 24124144204301 is an apocalyptic number.

It is an amenable number.

4124144204301 is a deficient number, since it is larger than the sum of its proper divisors (2370861517299).

4124144204301 is a wasteful number, since it uses less digits than its factorization.

4124144204301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270490.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 4124144204301 its reverse (1034024414214), we get a palindrome (5158168618515).

The spelling of 4124144204301 in words is "four trillion, one hundred twenty-four billion, one hundred forty-four million, two hundred four thousand, three hundred one".

Divisors: 1 3 11 19 33 37 57 111 209 407 627 659 703 1221 1977 2109 7249 7733 12521 21747 23199 24383 37563 73149 137731 268213 269761 413193 463277 804639 809283 1389831 2967371 5096047 5125459 8902113 9981157 15288141 15376377 29943471 56380049 109792727 169140147 177772499 189641983 329378181 533317497 568925949 1955497489 2086061813 3377677481 5866492467 6258185439 6577582463 10133032443 19732747389 37154452291 72353407093 111463356873 124974066797 217060221279 374922200391 1374714734767 4124144204301